Accepted Answer

First and foremost, you can unequip cursed items. It just takes Benediction from a either a priest in your party or from the church. And secondly, every piece of cursed equipment can be alchemized with a pinch or three of Saint's Ashes or a Lucky Pendant (which takes a Reckless Necklace and one thing of Saint's Ashes).

It's also worth noting that almost any cursed equipment you change through alchemy can be changed back via alchemy with a Malicite.

Other Answers

Yes, there are quite a few items like that, including the Reckless Necklace and the Hades' Helm. Using alchemy and combining cursed items with either Saint's Ashes or Lucky Pendants you can 'uncurse' an item. Though technically this makes a completely different item.